The Schwinger formula revisited II - (A mathematical treatment)

被引：4

作者：

Haro, J ^{[1
]}

机构：

[1] Univ Politecn Catalunya, Dept Matemat Aplicada 1, E-08028 Barcelona, Spain

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2004年 / 43卷 / 04期

关键词：

pair production; Schwinger's formula; WKB method;

D O I：

10.1023/B:IJTP.0000048596.81871.69

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the production of pairs in non-analytic potentials. While, when the potential is analytic, the average number of produced pairs is exponentially small in (h) over bar, when the potential is non-analytic, using the W. K. B. method, we prove that the average number of produced pairs is O(a (h) over bar (2N)), where N is the regularity of the potential and a is the fine structure constant. We give a rigorous proof of the Schwinger's formula.

引用

页码：987 / 1001

页数：15

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